Extremal eigenvalues of measure differential equations with fixed variation
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Publication:625898
DOI10.1007/s11425-010-4081-9zbMath1216.34090OpenAlexW2050507412MaRDI QIDQ625898
Publication date: 25 February 2011
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-010-4081-9
variational methodsextremal eigenvaluesNeumann problemmeasure differential equationssub-differential
Variational methods involving nonlinear operators (47J30) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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Cites Work
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- A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential
- Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
- Extremal eigenvalue problems for composite membranes. I
- Extremal eigenvalue problems for composite membranes. II
- Continuity in weak topology: higher order linear systems of ODE
- Spectrum of one-dimensional \(p\)-Laplacian with an indefinite integrable weight
- Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls
- Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
- Various half-eigenvalues of scalar \(p\)-Laplacian with indefinite integrable weights
- Minimization problems for eigenvalues of the Laplacian.
- On the minimization of the eigenvalues of the Schrödinger operator over domains.
- Variational formulas and approximation theorems for the first eigenvalue in dimension one
- Continuity in weak topology: first order linear systems of ODE
- Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian
- On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
- Sharp Estimates for the Eigenvalues of Some Differential Equations
- The Lebesgue-Stieltjes Integral
- Some disconjugacy criteria for differential equations with oscillatory coefficients
- Certain classes of potentials for p ‐Laplacian to be non‐degenerate
- Continuity of eigenvalues for Schrödinger operators, \(L^p\)-properties of Kato type integral operators.